Reduced dynamics and Lagrangian submanifolds of symplectic manifolds

In this paper, we will see that the symplectic creed by Weinstein "everything is a Lagrangian submanifold" also holds for Hamilton-Poincar\'e and Lagrange-Poincar\'e reduction. In fact, we show that solutions of the Hamilton-Poincar\'e equations and of the Lagrange-Poincar\'e equations are in one-to-one correspondence with distinguished curves in a Lagrangian submanifold of a symplectic manifold. For this purpose, we will combine the concept of a Tulczyjew triple with Marsden-Weinstein symplectic reduction.Comment: 26 page

Routh reduction and the class of magnetic Lagrangian systems

In this paper, some new aspects related to Routh reduction of Lagrangian systems with symmetry are discussed. The main result of this paper is the introduction of a new concept of transformation that is applicable to systems obtained after Routh reduction of Lagrangian systems with symmetry, so-called magnetic Lagrangian systems. We use these transformations in order to show that, under suitable conditions, the reduction with respect to a (full) semi-direct product group is equivalent to the reduction with respect to an Abelian normal subgroup. The results in this paper are closely related to the more general theory of Routh reduction by stages.Comment: 23 page

Dimension and support of underground slate mines

[Abstract] We've studied the conditions about dimensions and support ofan underground mine of roofing slate in Galice, worked by rooms with continuous pillars. The rock mass was characterized by the empiric and analitic methods, calculating the stable pillar wide along the mine by the theory of attributed area and by a model of finite elements, where the breaking criterion ofHoek and Brown was applied. The result was a parabolic relationship between pillar wide and mine length. Stability studies in an isolated stope give an elastic performance on the periphery of the room, without tractions. Although the stability ofthe mine is good, a systematic support is recommended on the basis of bolts, that will be reinforced with projected concret at the top, and a singular treatment of the detected wedges

Nuevos datos sobre la estructura general del Carbonífero en el Horst de La Camocha (Gijón, Asturias).

Una reciente campaña de investigación geológico-minera, mediante la realización de transversales de reconocimiento, sondeos de superficie e interior y perfiles sísmicos de reflexión, ha permitido profundizar en el conocimiento de la estructura del Carbonífero en el entorno de Mina La Camocha. En esta zona, al sur de Gijón, los materiales carboníferos, cubiertos por una cobertera permotriásica y jurásica, no afloran. Se precisa el estilo de plegamiento, analizándose y datándose las principales familias de fracturación. El estilo tectónico de los materiales carboníferos productivos no aflorantes, se ilustra mediante varios de los nuevos cortes obtenidos

Caracterización de los parámetros hidráulicos de la cobertera pérmica en el Horst del yacimiento carbonífero de Mina «La Camocha».

En la cobertera pérmica existente sobre el yacimiento carbonífero actualmente en explotación por Mina La Camocha, S. A., se localiza un acuífero multicapa con varios niveles claramente diferenciados. Por medio de diversas técnicas de estudio, se ha tratado de determinar los parámetros hidráulicos de estos materiales en varias localidades próximas a Gijón, con el fin de elaborar un esquema de funcionamiento hidráulico y estimar la posible influencia de este acuífero en las labores de explotación

Dosimetry characterization of 32^{32}P intravascular brachytherapy source wires using Monte Carlo codes PENELOPE and GEANT4

Monte Carlo calculations using the codes PENELOPE and GEANT4 have been performed to characterize the dosimetric parameters of the new 20 mm long catheter based $^{32}$P beta source manufactured by Guidant Corporation. The dose distribution along the transverse axis and the two dimensional dose rate table have been calculated. Also, the dose rate at the reference point, the radial dose function and the anisotropy function were evaluated according to the adapted TG-60 formalism for cylindrical sources. PENELOPE and GEANT4 codes were first verified against previous results corresponding to the old 27 mm Guidant $^{32}$P beta source. The dose rate at the reference point for the unsheathed 27 mm source in water was calculated to be $0.215 \pm 0.001$ cGy s$^{-1}$ mCi$^{-1}$, for PENELOPE, and $0.2312 \pm 0.0008$ cGy s$^{-1}$ mCi$^{-1}$, for GEANT4. For the unsheathed 20 mm source these values were $0.2908 \pm 0.0009$ cGy s$^{-1}$ mCi$^{-1}$ and $0.311 \pm 0.001$ cGy s$^{-1}$ mCi$^{-1}$, respectively. Also, a comparison with the limited data available on this new source is shown. We found non negligible differences between the results obtained with PENELOPE and GEANT4.Comment: 13 pages, 7 figures, 7 tables (accepted for publication in Medical Physics

Temperature increase prevails over acidification in gene expression modulation of amastigote differentiation in Leishmania infantum

<p>Abstract</p> <p>Background</p> <p>The extracellular promastigote and the intracellular amastigote stages alternate in the digenetic life cycle of the trypanosomatid parasite <it>Leishmania</it>. Amastigotes develop inside parasitophorous vacuoles of mammalian phagocytes, where they tolerate extreme environmental conditions. Temperature increase and pH decrease are crucial factors in the multifactorial differentiation process of promastigotes to amastigotes. Although expression profiling approaches for axenic, cell culture- and lesion-derived amastigotes have already been reported, the specific influence of temperature increase and acidification of the environment on developmental regulation of genes has not been previously studied. For the first time, we have used custom <it>L. infantum </it>genomic DNA microarrays to compare the isolated and the combined effects of both factors on the transcriptome.</p> <p>Results</p> <p>Immunofluorescence analysis of promastigote-specific glycoprotein gp46 and expression modulation analysis of the amastigote-specific A2 gene have revealed that concomitant exposure to temperature increase and acidification leads to amastigote-like forms. The temperature-induced gene expression profile in the absence of pH variation resembles the profile obtained under combined exposure to both factors unlike that obtained for exposure to acidification alone. In fact, the subsequent fold change-based global iterative hierarchical clustering analysis supports these findings.</p> <p>Conclusions</p> <p>The specific influence of temperature and pH on the differential regulation of genes described in this study and the evidence provided by clustering analysis is consistent with the predominant role of temperature increase over extracellular pH decrease in the amastigote differentiation process, which provides new insights into <it>Leishmania </it>physiology.</p

Foveal avascular zone and choroidal thickness are decreased in subjects with hard drusen and without high genetic risk of developing Alzheimer’s disease

A family history (FH+) of Alzheimer’s disease (AD) and ɛ4 allele of the ApoE gene are the main genetic risk factors for developing AD, whereas ɛ4 allele plays a protective role in age-related macular degeneration. Ocular vascular changes have been reported in both pathologies. We analyzed the choroidal thickness using optical coherence tomography (OCT) and the foveal avascular zone (FAZ) using OCT-angiography and compared the results with ApoE gene expression, AD FH+, and the presence or absence of hard drusen (HD) in 184 cognitively healthy subjects. Choroidal thickness was statistically significantly different in the (FH−, ɛ4−, HD+) group compared with (i) both the (FH−, ɛ4−, HD−) and the (FH+, ɛ4+, HD+) groups in the superior and inferior points at 1500 μm, and (ii) the (FH+, ɛ4−, HD+) group in the superior point at 1500 μm. There were statistically significant differences in the superficial FAZ between the (FH+, ɛ4−, HD+) group and (i) the (FH+, ɛ4−, HD−) group and (ii) the (FH+, ɛ4+, HD−) group. In conclusion, ocular vascular changes are not yet evident in participants with a genetic risk of developing AD